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Finding the Fourth Proportional to 472.78, 652.49 and 276.28

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Solution

The fourth proportional to 472.78, 652.49 and 276.28 is: 381.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.78 : 652.49 = 276.28 : x
  2. Step 2: Convert to fraction form
    472.78/652.49 = 276.28/x
  3. Step 3: Cross multiply
    472.78x = 652.49 × 276.28
  4. Step 4: Simplify right side
    472.78x = 180,271.44
  5. Step 5: Solve for x
    x = 180,271.44/472.78
  6. Step 6: Final answer
    x = 381.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.